查询词典 involutory algebra

This course offers advanced topics for students who have learned ordinary differential equations. The course includes linear algebra which has topics as matrices, linear systems of equations, eigenvalue problems, vector differential and integral calculus. Fourier series, orthogonal functions, Fourier

本课程为提供已有常微分方程式基础的同学修习、内容包括线性代数、矩阵运算、特徵值问题、向量的微分与积分、一阶线性微分方程组、傅力叶级数和正交函数、傅力叶转换、并将对椭圆、抛物线、双曲线型式的偏微分方程式作概略介绍。

Theory of differential form Wus method is a powerful tool in algebra and has widely application.

微分情形吴方法是代数领域中的一种有效的工具并有着广泛的应用。

The methods used in this dissertation include matrix, algebra as well as differential geometry theory.

自七十年代以来，奇异系统的理论与应用问题的研究一直吸引着国内外众多学者的关注。

The paper expounded internal difference between 0/0 of the derivative and of algebra, and discussed in detail the dual nature of 0/0 about algebraic substance of derivative on the basis of the philosophical thought about the concept of the differential quotient of Marx and Engels, and thus answered how derivative itself is converted to differential quotient logically.Then the discussion was extended to the Concept of the partial derivative, and proved that the form of differential quotient converted f...

本文依据马克思、恩格斯关于微商概念的哲学思想，阐述了代数的0/0与导数的0/0的内在差异，并详细讨论了导数的代数实体0/0的双重性质，从而回答了导数本身是如何合平逻辑地转化为微商的问题；其次，把这一讨论推广到偏导数的概念中去，论证了偏导数转化为微商形式的合理性，以及偏微商表述的意义，文中还就微商所牵涉到的形式逻辑与辩证逻辑的问题做了具体分析。

The paper expounded internal difference between 0/0 of the derivative and of algebra, and discussed in detail the dual nature of 0/0 about algebraic substance of derivative on the basis of the philosophical thought about the concept of the differential quotient of Marx and Engels, and thus answered how derivative itself is converted to differential quotient logically.Then the discussion was extended to the Concept of the partial derivative, and proved that the form of differential quotient converted from pa...

本文依据马克思、恩格斯关于微商概念的哲学思想，阐述了代数的0/0与导数的0/0的内在差异，并详细讨论了导数的代数实体0/0的双重性质，从而回答了导数本身是如何合平逻辑地转化为微商的问题；其次，把这一讨论推广到偏导数的概念中去，论证了偏导数转化为微商形式的合理性，以及偏微商表述的意义，文中还就微商所牵涉到的形式逻辑与辩证逻辑的问题做了具体分析。

This course is suitable of students who have mastered infinitesimal calculus, linear algebra, set topology, differential geometry of curves and surfaces.

微分流形己成为现代数学研究的基本对象，是联系经典数学和当代数学文献的桥梁。

Under the tutelage of Cosmas, John made such rapid progress that, in the enthusiastic language of his biographer, he soon equalled Diophantus in algebra and Euclid in geometry.

根据监护的科斯马斯，约翰取得如此迅速的进展，在热烈的语言，他的传记作家，他很快等于丢番图代数和欧几里得几何。

Fermat and led them to numerous general results which Diophantus himself only hinted. Perhaps more important, however, is the fact that this work, as a work of algebra, was in effect a treatise on the analysis of problems.

史学界一直认为丢番图仅满足于得到不定方程的一个解，本文的中心论点之一是揭示丢番图解法的一般性，亦即丢番图知道解的多样性，只要取不同的值，便可利用他的方法得到其它解。

Then we study that quadratic Lie colour algebra also can be decomposed to direct sum of ideas who contains no nontrivial non-degenerate idea of L . And the decomposition is unique except the order of the ideas .

然后给出了二次李color代数也可以分解为不包含非平凡的非退化的color理想的直和，而且分解除理想次序外是唯一的。

In this paper,from the six-term exact sequence,it is proved that the direct sum of Z and K1 -group of a Toeplitz algebra is always isomorphic to the topological K1 -group of the boundary of the relative domain.

本文通过六项正合列计算出，在强拟凸域上，它的拓扑边界上连续函数代数的K_(1-)群同构于区域上Toeplitz代数的K_1-群与Z的直和。

He paid $5,000 for this cupcake.

他我这个纸杯蛋糕花了5000美元。

I mean, if you want to, that is

我的意思是，如果你们想吃的话。